The uncertainty on measurements, given by the Heisenberg principle, is a quantum concept usually not taken into account in General Relativity. From a cosmological point of view, several authors wonder how such a principle can be reconciled with the Big Bang singularity, but, generally, not whether it may affect the reliability of cosmological measurements. In this letter, we express the {Compton mass} as a function of the cosmological redshift. The cosmological application of the indetermination principle unveils the differences of the Hubble-Lemaitre constant value, $H_0$, as measured from the Cepheids estimates and from the Cosmic Microwave Background radiation constraints. In conclusion, the $H_0$ tension could be related to the effect of indetermination derived in comparing a kinematic with a dynamic measurement.

中文翻译：

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通过海森堡不确定性解决宇宙学 $$H_0$$ 紧张局势

海森堡原理给出的测量不确定度是一个量子概念，通常在广义相对论中没有考虑在内。从宇宙学的角度来看，有几位作者想知道如何将这样的原理与大爆炸奇点相协调，但通常不知道它是否会影响宇宙学测量的可靠性。在这封信中，我们将 {康普顿质量} 表示为宇宙红移的函数。不确定原理的宇宙学应用揭示了根据造父变星估计和宇宙微波背景辐射约束测量的哈勃-勒梅特常数值 $H_0$ 的差异。总之，$H_0$ 张力可能与在比较运动学和动态测量时得出的不确定性的影响有关。